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Finding the Fourth Proportional to 5,589, 7,711.20 and 3,230.28

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Solution

The fourth proportional to 5,589, 7,711.20 and 3,230.28 is: 4,456.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589 : 7,711.20 = 3,230.28 : x
  2. Step 2: Convert to fraction form
    5,589/7,711.20 = 3,230.28/x
  3. Step 3: Cross multiply
    5,589x = 7,711.20 × 3,230.28
  4. Step 4: Simplify right side
    5,589x = 24,909,335.14
  5. Step 5: Solve for x
    x = 24,909,335.14/5,589
  6. Step 6: Final answer
    x = 4,456.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.